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Finding the Fourth Proportional to 628.84, 940.82 and 551.22

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Solution

The fourth proportional to 628.84, 940.82 and 551.22 is: 824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.84 : 940.82 = 551.22 : x
  2. Step 2: Convert to fraction form
    628.84/940.82 = 551.22/x
  3. Step 3: Cross multiply
    628.84x = 940.82 × 551.22
  4. Step 4: Simplify right side
    628.84x = 518,598.80
  5. Step 5: Solve for x
    x = 518,598.80/628.84
  6. Step 6: Final answer
    x = 824.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.